Conformal Methods in General Relativity

This book provides a systematic exposition of conformal methods and their application to studying the global properties of solutions to Einstein's theory of gravity, combining ideas with differential geometry to elucidate the existence and stability of basic solutions. It is an ideal reference companion for graduate students and researchers, with visual models and a list of further reading.

Format: Paperback / softback
Length: 622 pages
Publication date: 09 February 2023
Publisher: Cambridge University Press

This comprehensive book delves into the realm of conformal methods, offering a systematic exposition of their applications in studying the global properties of solutions to Einstein's theory of gravity. By seamlessly integrating these methods with differential geometry, the text reveals the existence and stability of the fundamental solutions of the theory. It serves as a valuable resource for graduate students and researchers seeking to gain a deep understanding of mathematical relativity.

The book begins by providing the necessary background in differential geometric, spinorial, and PDE techniques, enabling readers to grasp the fundamental concepts of conformal methods. It then presents a concise account of key results in mathematical relativity over the past three decades, encompassing topics such as the stability of de Sitter and Minkowski spacetimes.

To enhance the understanding of abstract concepts, the text incorporates useful visual models that aid in visualizing complex mathematical ideas. Additionally, a comprehensive list of further reading is provided, making it an ideal reference companion for those interested in exploring this topic further.

Originally published in 2016, this title has been reissued as an Open Access publication on Cambridge Core, ensuring widespread accessibility to academic communities.

ISBN-13: 9781009291330
Edition number: Revised ed